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Finding the Fourth Proportional to 395.42, 545.82 and 264.56

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Solution

The fourth proportional to 395.42, 545.82 and 264.56 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.42 : 545.82 = 264.56 : x
  2. Step 2: Convert to fraction form
    395.42/545.82 = 264.56/x
  3. Step 3: Cross multiply
    395.42x = 545.82 × 264.56
  4. Step 4: Simplify right side
    395.42x = 144,402.14
  5. Step 5: Solve for x
    x = 144,402.14/395.42
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.